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Finding the Fourth Proportional to 2,804.25, 3,871.08 and 1,756.92

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Solution

The fourth proportional to 2,804.25, 3,871.08 and 1,756.92 is: 2,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.25 : 3,871.08 = 1,756.92 : x
  2. Step 2: Convert to fraction form
    2,804.25/3,871.08 = 1,756.92/x
  3. Step 3: Cross multiply
    2,804.25x = 3,871.08 × 1,756.92
  4. Step 4: Simplify right side
    2,804.25x = 6,801,177.87
  5. Step 5: Solve for x
    x = 6,801,177.87/2,804.25
  6. Step 6: Final answer
    x = 2,425.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.